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Atlas › Integer Profiles › Node 5,961,933

5,961,933

32 × 41 × 107 × 151
Deficient Odd Composite

5,961,933 factors as 3^2 × 41 × 107 × 151. Its 24 positive divisors give a proper-divisor sum of 3,001,203, so this integer is deficient. The Collatz stopping time is 227 steps.

Prime Factor Structure

Factorization String 3^2 × 41 × 107 × 151
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,963,136
Proper Divisor Sum 3,001,203
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5961931 ← → #5961971

Radix Representation

Decimal 5961933
Binary 10110101111100011001101 (23 bits)
Octal 0o26574315
Hexadecimal 0x5AF8CD

Divisor Catalog (24)

1 3 9 41 107 123 151 321 369 453 963 1,359 4,387 6,191 13,161 16,157 18,573 39,483 48,471 55,719 145,413 662,437 1,987,311 5,961,933

Collatz Trajectory (227 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

5,961,933 17,885,800 8,942,900 4,471,450 2,235,725 6,707,176 3,353,588 1,676,794 838,397 2,515,192 1,257,596 628,798 314,399 943,198 471,599 1,414,798 707,399 2,122,198 1,061,099 3,183,298 1,591,649 4,774,948 2,387,474 1,193,737 3,581,212 1,790,606 895,303 2,685,910 1,342,955 4,028,866 2,014,433 6,043,300 3,021,650 1,510,825 4,532,476 2,266,238 1,133,119 3,399,358 1,699,679 5,099,038 2,549,519 7,648,558 3,824,279 11,472,838 5,736,419 17,209,258 8,604,629 25,813,888 12,906,944 6,453,472 3,226,736 1,613,368 806,684 403,342 201,671 605,014 302,507 907,522 453,761 1,361,284

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